RATIO & PROPORION, COMPARISON & PARTNERSHIP

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MATH QUIZ

SSC MATH PREVIOUS YEAR QUESTIONS : RATIO & PROPORTION, COMPARISON & PARTNERSHIP

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC GD 2018

A BAG CONTAINS MILK AND WATER IN RATIO 4:1. HOW MUCH MIXTURE SHOULD BE ADDED TO 10 LITRES OF WATER TO MAKE RATIO 4:1?

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CPO 2020

TWO NUMBERS ARE IN RATIO 7:9. IF THEIR SUM IS 64, FIND THE NUMBERS.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC GD 2018

A SUM OF ₹7200 IS DIVIDED AMONG A, B, C IN RATIO 2:3:4. FIND SHARE OF B.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CHSL 2021

A, B AND C INVEST ₹10000, ₹15000 AND ₹20000 RESPECTIVELY. AFTER 4 MONTHS, A WITHDRAWS ₹5000, B INVESTS ₹5000 MORE. FIND RATIO OF PROFIT AFTER 1 YEAR.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC MTS 2019

IF A : B = 2 : 3 AND B : C = 4 : 5, FIND (A + B) : (B + C).

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC GD 2022

IF X:Y = 5:6 AND Y:Z = 3:4, FIND X:Y:Z.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CPO 2019

A AND B INVEST IN RATIO 3:2. AFTER 6 MONTHS, C JOINS WITH EQUAL INVESTMENT AS B. FIND PROFIT RATIO AT YEAR END.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CHSL 2020

TWO NUMBERS ARE IN RATIO 8:13. IF THEIR PRODUCT IS 3328, FIND SMALLER NUMBER.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CHSL 2019

THE RATIO OF INCOMES OF A AND B IS 3:4 AND THEIR EXPENDITURES ARE IN RATIO 2:3. IF EACH SAVES ₹2000, FIND INCOME OF A.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CGL 2021

THE INCOMES OF A AND B ARE IN RATIO 5:7. THEIR EXPENDITURES ARE IN RATIO 4:5. IF BOTH SAVE ₹2000, FIND INCOME OF B.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC MTS 2019

TWO PARTNERS INVEST IN RATIO 3:5. PROFIT IS ₹16000. FIND SMALLER SHARE.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CGL 2022

A AND B STARTED A BUSINESS WITH ₹4000 AND ₹5000. AFTER 6 MONTHS, A WITHDREW HALF AND B INVESTED ₹2000 MORE. FIND PROFIT RATIO AT
YEAR END.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CGL 2021

A AND B INVEST ₹5000 AND ₹6000 RESPECTIVELY IN A BUSINESS. A INVESTS FOR 12 MONTHS, B FOR 10 MONTHS. FIND PROFIT RATIO.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CHSL 2020

A INVESTS ₹8000 FOR 6 MONTHS, B INVESTS ₹6000 FOR 8 MONTHS. FIND RATIO OF PROFIT.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CPO 2018

A, B, C SHARE PROFIT IN RATIO 2:3:5. IF TOTAL PROFIT IS ₹10000, FIND C’S SHARE.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CGL 2018

IN A MIXTURE, RATIO OF MILK AND WATER IS 5:3. IF 16 LITRES OF WATER IS ADDED, RATIO BECOMES 5:7. FIND INITIAL QUANTITY OF MILK.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CGL 2020

A SUM OF ₹5400 IS DIVIDED IN RATIO 1/2 : 1/3 : 1/4. FIND LARGEST SHARE.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC GD 2019

COMPARE 7/9 AND 8/11. WHICH IS SMALLER?

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC MTS 2017

COMPARE 3/4 AND 5/6. WHICH IS GREATER?

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC GD 2021

A AND B INVEST IN RATIO 7:8. AFTER SOME TIME PROFIT IS ₹3000. FIND A’S SHARE.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC MTS 2018

THE RATIO OF SPEEDS OF A AND B IS 2:3. TIME TAKEN RATIO WILL BE?

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC MTS 2017

IF A : B = 3 : 4 AND B : C = 2 : 5, FIND A : C.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CGL 2022

A SUM OF ₹8400 IS DIVIDED AMONG A, B, C SUCH THAT A GETS 1/3 OF B AND B GETS 1/2 OF C. FIND SHARE OF A.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CGL 2019

IF A : B = 4 : 5 AND B : C = 3 : 2, FIND A : B : C.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CGL 2020

THE RATIO OF TWO NUMBERS IS 3:5. IF 9 IS SUBTRACTED FROM BOTH, THE RATIO BECOMES 12:23. FIND THE SMALLER NUMBER.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CGL 2019

A SUM IS DIVIDED BETWEEN A AND B IN RATIO 5:7. IF A GETS ₹200 LESS THAN B, FIND TOTAL SUM.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CGL 2020

THE RATIO OF TWO NUMBERS IS 3:5. IF 9 IS SUBTRACTED FROM BOTH, THE RATIO BECOMES 12:23. FIND THE SMALLER NUMBER.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CHSL 2018

F THE RATIO OF BOYS TO GIRLS IN A CLASS IS 7:5 AND TOTAL STUDENTS ARE 48, FIND NUMBER OF GIRLS.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC CGL 2017

FIND FOURTH PROPORTIONAL TO 2, 4, 8.

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RATIO & PROPORTION, COMPARISON & PARTNERSHIP

SSC MTS 2020

TWO NUMBERS ARE IN RATIO 11:13. IF THEIR DIFFERENCE IS 24, FIND LARGER NUMBER.

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IMPORTANT HIGHLIGHTS

1. RATIO & PROPORTION

KEY CONCEPTS:

RATIO: COMPARISON OF TWO QUANTITIES
A : B = A/B

PROPORTION: EQUALITY OF TWO RATIOS
A : B = C : D ⇒ A/B = C/D

IMPORTANT FORMULAS:

FOURTH PROPORTIONAL = (B × C) / A

MEAN PROPORTIONAL = √(AB)

IF A : B = C : D ⇒ AD = BC

DUPLICATE RATIO OF A : B = A² : B²

SHORTCUT TRICKS:

MULTIPLY/DIVIDE BOTH TERMS BY SAME NUMBER → RATIO UNCHANGED

CONVERT MIXED QUANTITIES INTO SAME UNITS BEFORE SOLVING

2. COMPARISON (BASED ON RATIO)

KEY CONCEPTS:

COMPARE TWO QUANTITIES USING RATIOS OR FRACTIONS

USE LCM METHOD OR CROSS MULTIPLICATION

IMPORTANT TRICKS:

IF A/B > C/D ⇒ A×D > B×C

FOR COMPARING FRACTIONS: MAKE DENOMINATORS EQUAL

3. PARTNERSHIP

KEY CONCEPTS:

PROFIT ∝ (INVESTMENT × TIME)

IMPORTANT FORMULAS:

SHARE RATIO = (CAPITAL₁ × TIME₁) : (CAPITAL₂ × TIME₂)

PROFIT SHARE = TOTAL PROFIT × INDIVIDUAL RATIO / TOTAL RATIO

TYPES:

SIMPLE PARTNERSHIP → SAME TIME

COMPOUND PARTNERSHIP → DIFFERENT TIME